No, Verizon Wireless is a much larger company than MetroPCS, however the two are not related. Both Verizon and MetroPCS use Code division multiple access. MetroPCS is owned by MetroPCS Communications, Inc.
its all one network up in the sky it doesn't matter cause theyres an infinite amount of radiowaves in the atmos. this would mean you could grab your own internet. but to do so you need a isp to grant you permission to use theyre "antenna" and not our own